1 |
Abdel-Jaber, M.S., Al-Qaisia, A.A., Abdel-Jaber, M. and Beale, R.G. (2008), "Nonlinear natural frequencies of an elastically restrained tapered beam", J. Sound Vib., 313(3-5), 772-783.
DOI
|
2 |
Abrate, S. (1995), "Vibration of non-uniform rods and beams", J. Sound Vib., 185(4), 703-716.
DOI
|
3 |
Akgoz, B. and Civalek, O. (2013), "Free vibration analysis of axially functionally graded tapered Bernoulli-Euler microbeams based on the modified couple stress theory", Compos. Struct., 98, 314-322.
DOI
|
4 |
Attarnejad, R., Shahba, A. and Eslaminia, M. (2011), "Dynamic basic displacement functions for free vibration analysis of tapered beams", J. Vib. Control, 17(14), 2222-2238.
DOI
|
5 |
Auciello, N.M. and Nole, G. (1998), "Vibrations of a cantilever tapered beam with varying section properties and carrying a mass at the free end", J. Sound Vib., 214(1), 105-119.
DOI
|
6 |
Baghani, M., Mazaheri, H. and Salarieh, H. (2014), "Analysis of large amplitude free vibrations of clamped tapered beams on a nonlinear elastic foundation", Appl. Math. Model., 38(3), 1176-1186.
DOI
|
7 |
Bambill, D.V., Rossit, C.A., Rossi, R.E., Felix, D.H. and Ratazzi, A.R. (2013), "Transverse free vibration of non uniform rotating Timoshenko beams with elastically clamped boundary conditions", Meccanica, 48(6), 1289-1311.
DOI
|
8 |
Chen, D.W. and Liu, T.L. (2006), "Free and forced vibrations of a tapered cantilever beam carrying multiple point masses", Struct. Eng. Mech., 23(2), 209-216.
DOI
|
9 |
Clementi, F., Demeio, L., Mazzilli, C.E.N. and Lenci, S. (2015), "Nonlinear vibrations of non-uniform beams by the MTS asymptotic expansion method", Continuum. Mech. Thermodyn., 27(4-5), 703-717.
DOI
|
10 |
Dugush, Y.A. and Eisenberger, M. (2002), "Vibrations of non-uniform continuous beams under moving loads", J. Sound Vib., 254(5), 911-926.
DOI
|
11 |
Fang, J. and Zhou, D. (2015), "Free vibration analysis of rotating axially functionally graded-tapered beams using Chebyshev-Ritz method", Mater. Res. Innov., 19, 1255-1262.
|
12 |
Georgian, J.C. (1965), "Discussion: 'Vibration Frequencies of Tapered Bars and Circular Plates' (Conway, HD, Becker, ECH, and Dubil, JF, 1964, ASME J. Appl. Mech., 31, 329-331)", J. Appl. Mech., 32(1), 234-235.
DOI
|
13 |
Gunda, J.B., Singh, A.P., Chhabra, P.S. and Ganguli, R. (2007), "Free vibration analysis of rotating tapered blades using Fourier-p superelement", Struct. Eng. Mech., 27(2), 243-257.
DOI
|
14 |
He, P., Liu, Z.S. and Li, C. (2013), "An improved beam element for beams with variable axial parameters", Shock Vib., 20(4), 601-617.
DOI
|
15 |
Liu, A.Q., Zhang, X.M., Lu, C., Wang, F. and Liu, Z.S. (2003), "Optical and mechanical models for a variable optical attenuator using a micromirror drawbridge", J. Micromech. Microeng., 13(3), 400-411.
DOI
|
16 |
Karimpour, S., Ganji, S.S., Barari, A., Ibsen, L.B. and Domairry, G. (2012), "Nonlinear vibration of an elastically restrained tapered beam", Sci. China-Phys. Mech. Astron., 55(10), 1925-1930.
DOI
|
17 |
Katsikadelis, J.T. and Tsiatas, G.C. (2004), "Non-linear dynamic analysis of beams with variable stiffness", J. Sound Vib., 270(4), 847-863.
DOI
|
18 |
Lenci, S., Clementi, F. and Mazzilli, C.E.N. (2013), "Simple formulas for the natural frequencies of nonuniform cables and beams", Int. J. Mech. Sci., 77, 155-163.
DOI
|
19 |
Mao, Q.B. (2015), "AMDM for free vibration analysis of rotating tapered beams", Struct. Eng. Mech., 54(3), 419-432.
DOI
|
20 |
Mohammadimehr, M., Monajemi, A.A. and Moradi, M. (2015), "Vibration analysis of viscoelastic tapered micro-rod based on strain gradient theory resting on visco-pasternak foundation using DQM", J. Mech. Sci. Technol., 29(6), 2297-2305.
DOI
|
21 |
Pradhan, S.C. and Sarkar, A. (2009), "Analyses of tapered fgm beams with nonlocal theory", Struct. Eng. Mech., 32(6), 811-833.
DOI
|
22 |
Raj, A. and Sujith, R.I. (2005), "Closed-form solutions for the free longitudinal vibration of inhomogeneous rods", J. Sound Vib., 283(3), 1015-1030.
DOI
|
23 |
Rajasekaran, S. (2013), "Buckling and vibration of axially functionally graded nonuniform beams using differential transformation based dynamic stiffness approach", Meccanica, 48(5), 1053-1070.
DOI
|
24 |
Sadeghi, A. (2012), "The flexural vibration of V shaped atomic force microscope cantilevers by using the Timoshenko beam theory", ZAMM-Z. Angew. Math. Mech., 92(10), 782-800.
DOI
|
25 |
Rajasekaran, S. (2013), "Free vibration of tapered arches made of axially functionally graded materials", Struct. Eng. Mech., 45(4), 569-594.
DOI
|
26 |
Rao, B.N. and Rao, G.V. (1988), "Large amplitude vibrations of a tapered cantilever beam", J. Sound Vib., 127(1), 173-178.
DOI
|
27 |
Saboori, B. and Khalili, S.M.R. (2012), "Free vibration analysis of tapered FRP transmission poles with flexible joint by finite element method", Struct. Eng. Mech., 42(3), 409-424.
DOI
|
28 |
Sadeghi, A. (2015), "A new investigation for double tapered atomic force microscope cantilevers by considering the damping effect", ZAMM-Z. Angew. Math. Mech., 95(3), 283-296.
DOI
|
29 |
Sakiyama, T. (1985), "A method of analyzing the bending vibration of any type of tapered beams", J. Sound Vib., 101(2), 267-270.
DOI
|
30 |
Sato, K. (1980), "Transverse vibrations of linearly tapered beams with ends restrained elastically against rotation subjected to axial force", Int. J. Mech. Sci., 22(2), 109-115.
DOI
|
31 |
Shahba, A., Attarnejad, R. and Hajilar, S. (2011), "Free vibration and stability of axially functionally graded tapered Euler-Bernoulli beams", Shock Vib., 18(5), 683-696.
DOI
|
32 |
Shahba, A. and Rajasekaran, S. (2012), "Free vibration and stability of tapered Euler-Bernoulli beams made of axially functionally graded materials", Appl. Math. Model., 36(7), 3088-3105.
|
33 |
Shames, I.H. (1985), Energy and finite element methods in structural mechanics, CRC Press
|
34 |
Wu, B.S., Sun, W.P. and Lim, C.W. (2006), "An analytical approximate technique for a class of strongly non-linear oscillators", Int. J. Nonlin. Mech., 41(6), 766-774.
DOI
|
35 |
Swaddiwudhipong, S. and Liu, Z.S. (1996), "Dynamic response of large strain elasto-plastic plate and shell structures", Thin Wall. Struct., 26(4), 223-239.
DOI
|
36 |
Swaddiwudhipong, S. and Liu, Z.S. (1997), "Response of laminated composite plates and shells", Compos. Struct., 37(1), 21-32.
DOI
|
37 |
Wagner, H. (1965), "Large-amplitude free vibrations of a beam", J. Appl. Mech., 32(4), 887-892.
DOI
|
38 |
Wu, J.S. and Hsieh, M. (2000), "Free vibration analysis of a non-uniform beam with multiple point masses", Struct. Eng. Mech., 9(5), 449-467.
DOI
|
39 |
Yardimoglu, B. (2006), "Vibration analysis of rotating tapered Timoshenko beams by a new finite element model", Shock Vib., 13(2), 117-126.
DOI
|
40 |
Yu, Y.P., Wu, B.S. and Lim, C.W. (2012), "Numerical and analytical approximations to large post-buckling deformation of MEMS", Int. J. Mech. Sci., 55(1), 95-103.
DOI
|